Yayınlanmış 1 Ocak 2024 | Sürüm v1
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A Characterization of Normal Injective and Normal Projective Hypermodules

  • 1. Amasya Univ, Fac Art & Sci, Dept Math, TR-05100 Ipekkoy, Turkiye
  • 2. Univ Nova Gorica, Ctr Informat Technol & Appl Math, Nova Gorica 5000, Slovenia

Açıklama

This study is motivated by the recently published papers on normal injective and normal projective hypermodules. We provide a new characterization of the normal injective and normal projective hypermodules by using the splitting of the short exact sequences of hypermodules. After presenting some of their fundamental properties, we show that if a hypermodule is normal projective, then every exact sequence ending with it is splitting. Moreover, if a hypermodule is normal injective, then every exact sequence starting with it is splitting as well. Finally, we investigate the relationships between semisimple, simple, normal injective, and normal projective hypermodules.

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